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Finding the Fourth Proportional to 490.58, 735.74 and 413.56

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Solution

The fourth proportional to 490.58, 735.74 and 413.56 is: 620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.58 : 735.74 = 413.56 : x
  2. Step 2: Convert to fraction form
    490.58/735.74 = 413.56/x
  3. Step 3: Cross multiply
    490.58x = 735.74 × 413.56
  4. Step 4: Simplify right side
    490.58x = 304,272.63
  5. Step 5: Solve for x
    x = 304,272.63/490.58
  6. Step 6: Final answer
    x = 620.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.